In order to find any of the info we need we have to find the first derivative of the equation. If

, then

. We are told to find the slope at point (1, 7). Using that x value in our derivative will give us the slope of the line at that point. y' = -(1)^2+8. So y' = 7. That's the slope of the line. Now we will use that slope along with the x and y coordinate in the slope-intercept form of a line to solve for b. 7 = 7(1) + b so b = 0. Our equation then is y = 7x. If you graph these in the same window on your calculator, you can see how perfectly that align at the given point. It's really quite perfect.
Answer:
6 laps
Step-by-step explanation:
Each lap Jeffrey needs to run is one tenth of a mile he wants to run threee fifths of a mile how many laps does he need to run
One tenth of a mile = 1/0
Three fifths of a mile = 3/5
From the question:
1/10 mile = 1 lap
3/5 mile = x
Cross Multiply
1/10 mile × x = 3/5 mile × 1 lap
x = 3/5 mile × 1 lap/ 1/10 mile
x = 3/5 ÷ 1/10
x = 3/5 × 10/1
x = 6 laps
Therefore, for there fifths of a mile(3/5) he needs to run 6 laps
Answer:
10% is equivalent to the unit fraction 1/10.
To find 10% of 230, divide 230 by 10.
10% of 230 is 23.